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arXiv · 1404.7690

Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups

Hisashi Kasuya
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Abstract

Twisted Lefschetz numbers are extensions of the ordinary Lefschetz numbers for cohomologies with values in flat bundles. As a generalization of linearization formula for the ordinary Lefschetz number of a self-map of a nilmanifold, we show that a twisted Lefschetz number of any self-map of any infra-solvmanifold is equal to the determinant ${\rm det}(I-A)$ for some matrix $A$ by using the cohomology of algebraic groups.

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Hisashi Kasuya. 2014-04-30. Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups. https://arxiv.org/abs/1404.7690

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